Table B.2†Future Value of 1
f = (1 + i)n
| |
Rate |
| Periods |
1% |
2% |
3% |
4% |
5% |
6% |
7% |
8% |
9% |
10% |
12% |
15% |
Periods |
| 0 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0 |
| 1 |
1.0100 |
1.0200 |
1.0300 |
1.0400 |
1.0500 |
1.0600 |
1.0700 |
1.0800 |
1.0900 |
1.1000 |
1.1200 |
1.1500 |
1 |
| 2 |
1.0201 |
1.0404 |
1.0609 |
1.0816 |
1.1025 |
1.1236 |
1.1449 |
1.1664 |
1.1881 |
1.2100 |
1.2544 |
1.3225 |
2 |
| 3 |
1.0303 |
1.0612 |
1.0927 |
1.1249 |
1.1576 |
1.1910 |
1.2250 |
1.2597 |
1.2950 |
1.3310 |
1.4049 |
1.5209 |
3 |
| 4 |
1.0406 |
1.0824 |
1.1255 |
1.1699 |
1.2155 |
1.2625 |
1.3108 |
1.3605 |
1.4116 |
1.4641 |
1.5735 |
1.7490 |
4 |
| 5 |
1.0510 |
1.1041 |
1.1593 |
1.2167 |
1.2763 |
1.3382 |
1.4026 |
1.4693 |
1.5386 |
1.6105 |
1.7623 |
2.0114 |
5 |
| 6 |
1.0615 |
1.1262 |
1.1941 |
1.2653 |
1.3401 |
1.4185 |
1.5007 |
1.5869 |
1.6771 |
1.7716 |
1.9738 |
2.3131 |
6 |
| 7 |
1.0721 |
1.1487 |
1.2299 |
1.3159 |
1.4071 |
1.5036 |
1.6058 |
1.7138 |
1.8280 |
1.9487 |
2.2107 |
2.6600 |
7 |
| 8 |
1.0829 |
1.1717 |
1.2668 |
1.3686 |
1.4775 |
1.5938 |
1.7182 |
1.8509 |
1.9926 |
2.1436 |
2.4760 |
3.0590 |
8 |
| 9 |
1.0937 |
1.1951 |
1.3048 |
1.4233 |
1.5513 |
1.6895 |
1.8385 |
1.9990 |
2.1719 |
2.3579 |
2.7731 |
3.5179 |
9 |
| 10 |
1.1046 |
1.2190 |
1.3439 |
1.4802 |
1.6289 |
1.7908 |
1.9672 |
2.1589 |
2.3674 |
2.5937 |
3.1058 |
4.0456 |
10 |
| 11 |
1.1157 |
1.2434 |
1.3842 |
1.5395 |
1.7103 |
1.8983 |
2.1049 |
2.3316 |
2.5804 |
2.8531 |
3.4785 |
4.6524 |
11 |
| 12 |
1.1268 |
1.2682 |
1.4258 |
1.6010 |
1.7959 |
2.0122 |
2.2522 |
2.5182 |
2.8127 |
3.1384 |
3.8960 |
5.3503 |
12 |
| 13 |
1.1381 |
1.2936 |
1.4685 |
1.6651 |
1.8856 |
2.1329 |
2.4098 |
2.7196 |
3.0658 |
3.4523 |
4.3635 |
6.1528 |
13 |
| 14 |
1.1495 |
1.3195 |
1.5126 |
1.7317 |
1.9799 |
2.2609 |
2.5785 |
2.9372 |
3.3417 |
3.7975 |
4.8871 |
7.0757 |
14 |
| 15 |
1.1610 |
1.3459 |
1.5580 |
1.8009 |
2.0789 |
2.3966 |
2.7590 |
3.1722 |
3.6425 |
4.1772 |
5.4736 |
8.1371 |
15 |
| 16 |
1.1726 |
1.3728 |
1.6047 |
1.8730 |
2.1829 |
2.5404 |
2.9522 |
3.4259 |
3.9703 |
4.5950 |
6.1304 |
9.3576 |
16 |
| 17 |
1.1843 |
1.4002 |
1.6528 |
1.9479 |
2.2920 |
2.6928 |
3.1588 |
3.7000 |
4.3276 |
5.0545 |
6.8660 |
10.7613 |
17 |
| 18 |
1.1961 |
1.4282 |
1.7024 |
2.0258 |
2.4066 |
2.8543 |
3.3799 |
3.9960 |
4.7171 |
5.5599 |
7.6900 |
12.3755 |
18 |
| 19 |
1.2081 |
1.4568 |
1.7535 |
2.1068 |
2.5270 |
3.0256 |
3.6165 |
4.3157 |
5.1417 |
6.1159 |
8.6128 |
14.2318 |
19 |
| 20 |
1.2202 |
1.4859 |
1.8061 |
2.1911 |
2.6533 |
3.2071 |
3.8697 |
4.6610 |
5.6044 |
6.7275 |
9.6463 |
16.3665 |
20 |
| 25 |
1.2824 |
1.6406 |
2.0938 |
2.6658 |
3.3864 |
4.2919 |
5.4274 |
6.8485 |
8.6231 |
10.8347 |
17.0001 |
32.9190 |
25 |
| 30 |
1.3478 |
1.8114 |
2.4273 |
3.2434 |
4.3219 |
5.7435 |
7.6123 |
10.0627 |
13.2677 |
17.4494 |
29.9599 |
66.2118 |
30 |
| 35 |
1.4166 |
1.9999 |
2.8139 |
3.9461 |
5.5160 |
7.6861 |
10.6766 |
14.7853 |
20.4140 |
28.1024 |
52.7996 |
133.1755 |
35 |
| 40 |
1.4889 |
2.2080 |
3.2620 |
4.8010 |
7.0400 |
10.2857 |
14.9745 |
21.7245 |
31.4094 |
45.2593 |
93.0510 |
267.8635 |
40 |
†Used to compute the future value of a known present amount. For example: What is the accumulated value of $3,000 invested today at 8% compounded quarterly for 5 years? Using the factors of n = 20 and i = 2% (20 quarterly periods and a quarterly interest rate of 2%), the factor is 1.4859. The accumulated value is $4,457.70 ($3,000 × 1.4859).